One - fourth of sixty percent of a number is equal to two - fifths of…

Question

One - fourth of sixty percent of a number is equal to two - fifths of twenty percent of another number. What is the respective ratio of the first number to the second number ?

Accepted Answer

Option E. None of these. Answer & Solution Answer: Option E Solution: Let the numbers be x and y & Then, & = 1/4 of ( 60\% of x ) & = 2/5 of ( 20\% of y ) & ( 1/4 × 60100 × x ) = ( 2/5 × 20100 × y ) & 3x20 = 2y25 & x/y = 225 × 203 = 815 & x:y = 8:15